On strongly normal functions

被引：5

作者：

Chen, HH

Gauthier, PM

机构：

[1] NANJING NORMAL UNIV,DEPT MATH,NANJING 210024,PEOPLES R CHINA

[2] UNIV MONTREAL,DEPT MATH & STAT,MONTREAL,PQ H3C 3J7,CANADA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1996年 / 39卷 / 04期

关键词：

normal functions; automorphic functions;

D O I：

10.4153/CMB-1996-049-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Loosely speaking, a function (meromorphic or harmonic) from the hyperbolic disk of the complex plane to the Riemann sphere is normal if its dilatation is bounded. We call a function strongly normal if its dilatation vanishes at the boundary. A sequential property of this class of functions is proved. Certain integral conditions, known to be sufficient for normality, are shown to be in fact sufficient for strong normality.

引用

页码：408 / 419

页数：12

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